Weil divisors on rational normal scrolls (Q2717173)
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scientific article; zbMATH DE number 1604752
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weil divisors on rational normal scrolls |
scientific article; zbMATH DE number 1604752 |
Statements
2 June 2002
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arithmetically Cohen-Macaulay divisors
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rational normal scroll
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Weil divisor
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singular scroll
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intersection numbers
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0.9207516
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0.8911052
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0.8878181
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Weil divisors on rational normal scrolls (English)
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Let \(X\subset\mathbb{P}^n\) be a singular \(r\)-dimensional rational normal scroll. Hence \(\deg(X)= n-r+1\) and \(X\) is a cone with vertex \(\text{Sing} (X)\). Here the author study Weil divisors on \(X\) stressing the difficult case \(\dim(\text{Sing} (X))=-r-2\). In this case she computes the intersection numbers of \(r\) divisors. In this case all effective divisors and (if \(r\geq 3)\) all complete intersections of two effective divisors are arithmetically Cohen-Macaulay.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00042].
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